Academic Journal
Revising the Boundary Element Method for Thermoviscous Acoustics:An Iterative Approach via Schur Complement
| العنوان: | Revising the Boundary Element Method for Thermoviscous Acoustics:An Iterative Approach via Schur Complement |
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| المؤلفون: | Preuss, Simone, Paltorp, Mikkel, Blanc, Alexis, Henríquez, Vicente Cutanda, Marburg, Steffen |
| المصدر: | Preuss , S , Paltorp , M , Blanc , A , Henríquez , V C & Marburg , S 2023 , ' Revising the Boundary Element Method for Thermoviscous Acoustics : An Iterative Approach via Schur Complement ' , Journal of Theoretical and Computational Acoustics , vol. 31 , no. 4 , 2350015 . https://doi.org/10.1142/S2591728523500159 |
| سنة النشر: | 2023 |
| المجموعة: | Technical University of Denmark: DTU Orbit / Danmarks Tekniske Universitet |
| مصطلحات موضوعية: | Acoustic boundary layers, Boundary element method, Iterative solvers, Schur complement, Static condensation, Viscous and thermal losses |
| الوصف: | The Helmholtz equation is a reliable model for acoustics in inviscid fluids. Real fluids, however, experience viscous and thermal dissipation that impact the sound propagation dynamics. The viscothermal losses primarily arise in the boundary region between the fluid and solid, the acoustic boundary layers. To preserve model accuracy for structures housing acoustic cavities of comparable size to the boundary layer thickness, meticulous consideration of these losses is essential. Recent research efforts aim to integrate viscothermal effects into acoustic boundary element methods (BEM). While the reduced discretization of BEM is advantageous over finite element methods, it results in fully populated system matrices whose conditioning deteriorates when extended with additional degrees of freedom to account for viscothermal dissipation. Solving such a linear system of equations becomes prohibitively expensive for large-scale applications, as only direct solvers can be used. This work proposes a revised formulation for the viscothermal BEM employing the Schur complement and a change of basis for the boundary coupling. We demonstrate that static condensation significantly improves the conditioning of the coupled problem. When paired with an iterative solution scheme, the approach lowers the algorithmic complexity and thus reduces the computational costs in terms of runtime and storage requirements. The results demonstrate the favorable performance of the new method, indicating its usability for applications of practical relevance in thermoviscous acoustics. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | https://orbit.dtu.dk/en/publications/2781d6ee-027e-4d8e-a125-e5c5a3cd85a2 |
| DOI: | 10.1142/S2591728523500159 |
| الاتاحة: | https://orbit.dtu.dk/en/publications/2781d6ee-027e-4d8e-a125-e5c5a3cd85a2 https://doi.org/10.1142/S2591728523500159 https://backend.orbit.dtu.dk/ws/files/348556046/preuss-et-al-2023-revising-the-boundary-element-method-for-thermoviscous-acoustics-an-iterative-approach-via-schur.pdf |
| Rights: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.14A7651B |
| قاعدة البيانات: | BASE |
| DOI: | 10.1142/S2591728523500159 |
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